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Algebra and Discrete Mathematics, 2012, Volume 13, Issue 2, Pages 209–219 (Mi adm74)  
RESEARCH ARTICLE

One branch curve singularities with at most 2-parameter families of ideals

Yuriy A. Drozda, Ruslan V. Skuratovskiib

a Institute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkivska 3, 01601 Kyiv, Ukraine
b Kyiv National Taras Shevchenko University, Department of Mathematics, Volodymyrska 64, 01033 Kyiv, Ukraine
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Abstract: A criterion is given in order that the ideals of a one branch curve singularity form at most $2$-parameter families. Namely, we present a list of plane curve singularities from the Arnold's classification which are the smallest among all one branch singularities having at most $2$-parameter families of ideals.
Keywords: Curve singularity, ideal, family of ideals, sandwich technique.
Received: 31.01.2012
Accepted: 31.01.2012
Bibliographic databases:
Document Type: Article
MSC: Primary 13C05; Secondary 14H20
Language: English
Citation: Yuriy A. Drozd, Ruslan V. Skuratovskii, “One branch curve singularities with at most 2-parameter families of ideals”, Algebra Discrete Math., 13:2 (2012), 209–219
Citation in format AMSBIB
\Bibitem{DroSku12}
\by Yuriy~A.~Drozd, Ruslan~V.~Skuratovskii
\paper One branch curve singularities with at most 2-parameter families of ideals
\jour Algebra Discrete Math.
\yr 2012
\vol 13
\issue 2
\pages 209--219
\mathnet{http://mi.mathnet.ru/adm74}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3027507}
\zmath{https://zbmath.org/?q=an:06120571}
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